Email: alfonso (at-sing)
math (dot) toronto (dot) edu
Office: 215 Huron St,
Office 1023 (10th floor)
Phone: 416-946-3771
Mail address:
Mathematics Department, University of Toronto, 40 St George
St Room 6290, Toronto ON M5S 2E4, Canada.
PAPERS
Publications
A. Gracia-Saz: The symbol of a
function of an operator, Ann.
Inst. Fourier55 (2005) 2257-2284. pdf
M. Cargo, A. Gracia-Saz, R.G.
Littlejohn, M.W. Reinsch and
P.de M. Rios:
Quantum normal forms,
Moyal star product and
Bohr-Sommerfeld approximation, J.
Phys. A: Math. Gen.38
(2005) 1977-2004. pdf
Preprints
M.Cargo, A. Gracia-Saz, and R. Littlejohn:
Multidimensional quantum normal
forms,
Moyal star product, and torus
quantization. arXiv:math-ph/0507032
.
In preparation
A. Gracia-Saz and K.Mackenzie: Duality of n-fold vector
bundles.
A. Gracia-Saz and R. Mehta: Lie algebroid vector bundles and the
theory of connections.
Here are some surveys I wrote for
graduate courses I took with Alan
Weistein:
The classification of holonomy
groups of affine connections
(term paper for Riemannian Geometry, Fall 2003). pdf
On Kontsevich formula for
deformation quantization (term paper for Symplectic Geometry,
Fall 2002). pdf